Question

10 points

You randomly select 2 cards from a standard deck of 52 playing cards.

What is the probability that all 2 cards are diamonds when you REPLACE

each card before selecting the next card? (If you use decimals, round

your answer to the nearest thousandth, which is 3 decimal places.) *

O

1/16

O 0.125

0.125

O

0.059

1/26

Answer 1

1/169

Explanation:

52 cards in a deck, 13 are diamonds

P(diamond) = number of diamonds/ total

= 13/52 = 1/13

Replace the card

52 cards in a deck, 13 are diamonds

P(diamond) = number of diamonds/ total

= 13/52 = 1/13

P (diamond, replace, diamond) = 1/13 * 1/13 = 1/169